homework 1 - ECE 2317 Applied Electricity and Magnetism...

1ECE 2317 Applied Electricity and Magnetism Fall 2011 Homework #1 Date Assigned: Jan. 20 Due Date:Jan. 27 1.A surface charge density 25( 1)sxyρ=−[C/m2] exists on the xyplane. Find the total charge that lies within the rectangle defined by the vertices (0,0,0), (2,0,0), (2,1,0), (0,1,0). 2.A surface charge density 2)s=−[C/m2] exists on the xyplane. Find the total charge that lies within the triangle defined by the vertices (0,0,0), (1,0,0), (0,2,0). 3.A slab of constant (uniform) charge density 0vv=has a thickness has shown below, and is infinite in the xand y directions. Determine an effective surface charge density effs(lying in the xyplane) that has the same amount of charge per unit area in the xyplane as the slab of charge does. 4.A cylindrical region of uniform charge density 0=having a radius ais shown below. Determine an effective line charge density effllying along the zaxis that has the same amount of charge per unit length (in the zdirection) as the cylinder of charge does.

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